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TOP 10 UPSC OPTIONAL SUBJECTS TELEGRAM CHANNELS 1. Geography Optional Material, Videos & Class Notes 2. History Optional Material, Videos & Class Notes 3. Economics Optional Material, Videos & Class Notes 4. Public Administration Optional Material, Videos Read More ……
Mathematics Optional Subject Books Books selection & Best Books play invaluable role to increase chances of success .We did a lot of research and took the suggestions from CSE-2016 and CSE-2017 toppers for preparing Book list for Mathematics Optional Read More ……
Mathematics Paper-II, Syllabus (1) Algebra: Groups, subgroups, cyclic groups, cosets, Lagrange’s Theorem, normal subgroups, quotient groups, homomorphism of groups, basic isomorphism theorems, permutation groups, Cayley’s theorem. Rings, subrings and ideals, homomorphisms of rings; Integral domains, principal ideal domains, Euclidean Read More ……
Mathematics Paper-I, Syllabus (1) Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation. Algebra of Matrices; Row and column reduction, Echelon form, congruence’s Read More ……